1506720 has 96 divisors (see below), whose sum is σ = 4923072. Its totient is φ = 387072.

The previous prime is 1506697. The next prime is 1506721. The reversal of 1506720 is 276051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20604 + ... + 20676.

It is an arithmetic number, because the mean of its divisors is an integer number (51282).

2^1506720 is an apocalyptic number.

1506720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461536).

1506720 is an abundant number, since it is smaller than the sum of its proper divisors (3416352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1506720 is a wasteful number, since it uses less digits than its factorization.

1506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1506720 is about 1227.4852341271. The cubic root of 1506720 is about 114.6421136060.

The spelling of 1506720 in words is "one million, five hundred six thousand, seven hundred twenty".